Line congruences in projective spaces of even dimension
نویسندگان
چکیده
منابع مشابه
Stable Geometric Dimension of Vector Bundles over Even-dimensional Real Projective Spaces
In 1981, Davis, Gitler, and Mahowald determined the geometric dimension of stable vector bundles of order 2e over RPn if n is even and sufficiently large and e ≥ 75. In this paper, we use the Bendersky-Davis computation of v−1 1 π∗(SO(m)) to show that the 1981 result extends to all e ≥ 5 (still provided that n is sufficiently large). If e ≤ 4, the result is often different due to anomalies in t...
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0.1. Notations and Conventions. During this note, we will fix a base field k (e.g. the complex numbers C). The multiplicative group of the field k will be denoted by Gm. All the vector spaces considered will be finite dimensional vector spaces over the field k. For a given vector space V of dimension≥ 1, we will denote the dual vector space, the projective space parameterizing 1-dimensional sub...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1958
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1958.100302